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Finding the Third Proportional to 4,206,010 and 6,301,914

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Solution

The third proportional to 4,206,010 and 6,301,914 is: 9,442,231.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206,010 : 6,301,914 = 6,301,914 : x
  2. Step 2: Convert to fraction form
    4,206,010/6,301,914 = 6,301,914/x
  3. Step 3: Cross multiply
    4,206,010x = 6,301,914 × 6,301,914
  4. Step 4: Simplify right side
    4,206,010x = 39,714,120,063,396
  5. Step 5: Solve for x
    x = 39,714,120,063,396/4,206,010
  6. Step 6: Final answer
    x = 9,442,231.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.